Fluctuation theorems for the undriven Duffing oscillator”

PEÑA ROSELLO, J.I; GIULIANO MARTIN; DEZA, R.; DEZA, J.I.; WIO, H.S.

Conferencia; XXVI Sitges Conference on Statistical Mechanics; 2019

Undamped autonomous nonlinear systems with one degree of freedom are described by a Hamiltonian, H(x,p)=p^2/2m + V(x).When their damping is of the form "γ p", we prove by two methods that H/γ is a global Lyapunov function.